GENERALIZED FLOW-BOX PROPERTY FOR SINGULAR FOLIATIONS
| Autor: | André Belotto da Silva, Daniel Panazzolo |
|---|---|
| Přispěvatelé: | Institut de Mathématiques de Marseille (I2M), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Institut de Recherche Mathématique Avancée (IRMA), Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA), Université de Haute-Alsace (UHA) Mulhouse - Colmar (Université de Haute-Alsace (UHA)), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), ANR-16-CE40-0008,Foliage,Feuilletages et géométrie algébrique(2016) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Transversality [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 34C99 34M35 37F75 01 natural sciences Interpretation (model theory) Section (fiber bundle) Classical Analysis and ODEs (math.CA) FOS: Mathematics Order (group theory) 0101 mathematics Algebraic number Lie group action Mathematics Algebra and Number Theory Applied Mathematics 010102 general mathematics 16. Peace & justice 010101 applied mathematics 2010 MSC: Primary 34C99 34M35 37F75 Secondary 14B05 14E15 34C08 Computational Mathematics Flow (mathematics) Mathematics - Classical Analysis and ODEs Foliation (geology) Geometry and Topology [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] Analysis |
| Zdroj: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A. Matemáticas Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A. Matemáticas, Springer, 2019, 113 (4), pp.3949-3965. ⟨10.1007/s13398-018-0596-7⟩ RACSAM. Real Academia de Ciencias. Serie A, Matemáticas-Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas RACSAM. Real Academia de Ciencias. Serie A, Matemáticas-Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2019, 113 (4), pp.3949-3965. ⟨10.1007/s13398-018-0596-7⟩ |
| ISSN: | 1578-7303 1579-1505 |
| DOI: | 10.1007/s13398-018-0596-7⟩ |
| Popis: | We introduce a notion of generalized Flow-Box property valid for general singular distributions and sub-varieties (based on a dynamical interpretation). Just as in the usual Flow-Box Theorem, we characterize geometrical and algebraic conditions of (quasi) transversality in order for an analytic sub-variety $X$ (not necessarily regular) to be a section of a line foliation. We also discuss the case of more general foliations. This study is originally motivated by a question of Jean-Francois Mattei (concerning the strengthening of a Theorem of Mattei) about the existence of local slices for a (non-compact) Lie group action. Changes in Section 4 |
| Databáze: | OpenAIRE |
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